The space shuttle fleet was designed with two booster stages. If the second stage provides a thrust of 73 ​kilo-newtons and the space shuttl

Question

The space shuttle fleet was designed with two booster stages. If the second stage provides a thrust of 73 ​kilo-newtons and the space shuttle has an acceleration of 16,000 miles per hour squared ​, what is the mass of the spacecraft in units of​ pounds-mass ​?

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bonexptip 4 years 2021-07-22T18:16:43+00:00 1 Answers 19 views 0

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    2021-07-22T18:18:25+00:00

    Answer:

    m = 81281.5 pounds.

    Explanation:

    Given that,

    Force, F = 73 kN

    Acceleration of the space shuttle, a = 16000 mi/h²

    1 miles/h² = 0.0001241 m/s2

    16000 mi/h² = 1.98 m/s²

    We need to find the mass of the spacecraft.

    According to Newton’s second law,

    F = ma

    m is mass of the spacecraft

    m=\dfrac{F}{a}\\\\m=\dfrac{73\times 10^3\ N}{1.98\ m/s^2}\\\\m=36868.68\ kg

    Since, 1 kg = 2.20462 pounds

    m = 81281.5 pounds

    Hence, the mass of the spacecraft is 81281.5 pounds.

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